LCM of 669, 913, 266, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 913, 266, 418 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 669, 913, 266, 418. So, keep reading to learn more.
Given numbers are 669,913,266,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,913,266,418 is 162472002.
Find LCM of 669,913,266,418 with Prime Factorization
| 2 | 669, 913, 266, 418 |
| 11 | 669, 913, 133, 209 |
| 19 | 669, 83, 133, 19 |
| 669, 83, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 669 x 83 x 7 x 1 = 162472002
Therefore, the lowest common multiple of 669,913,266,418 is 162472002.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
669 x 913 x 266 x 418 = 67913296836
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
669 : 1, 3, 223, 669
913 : 1, 11, 83, 913
266 : 1, 2, 7, 14, 19, 38, 133, 266
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,913,266,418, is 1.
Now, the common factors can be found like this.
669:3x 223
913:11x 83
266:2x 7x 19
418:2x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 19 = 418
Therefore, the value for common factors is 418.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 67913296836/(1x418)
LCM = 67913296836/418
LCM = 162472002
Thus, we can understand that the LCM of 669,913,266,418 is 162472002.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 669, 913, 266, 418
1. What is the LCM of 669, 913, 266, 418?
Answer: LCM of 669, 913, 266, 418 is 162472002.
2. How to calculate the LCM of 669, 913, 266, 418?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 669, 913, 266, 418.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.